Identification of a prior probabilistic mesoscale model with experimental multiscale observations of one specimen under external loads

Christophe Desceliers (1) , M.-T. Nguyen (1) , Christian Soize (1)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

We consider a microstructure of a material for which, at mesoscale, the apparent elasticy tensor field is modeled by a random tensor field and, at macroscale, the effective elasticity tensor is modeled by a random tensor constructed by using any available homogenization method. The objective of this work is to identify the parameters of a prior probabilistic model of the random apparent elasticity tensor field at mesoscale using simultaneously macroscale and mesoscale field measurements carried out on one specimen.

Mots clés: Micromechanics; multiscale modeling; multiscale identification; probabilistic model; mesoscale

Domaines: Mécanique des matériaux [physics.class-ph]; Mécanique des matériaux [physics.class-ph]; Probabilités [math.PR]; Statistiques [math.ST]; Théorie [stat.TH]

Christophe Desceliers, M.-T. Nguyen, Christian Soize. Identification of a prior probabilistic mesoscale model with experimental multiscale observations of one specimen under external loads. 12th U.S. National Congress on Computational Mechanics, USNCCM XII 2013, University of North Carolina, Jul 2013, Raleigh, North Carolina, United States. pp.Pages: 1-1. ⟨hal-00861343⟩